What is the slope of the line that passes through the pair of points? (-5/3, -1); (-2, 9/2) ?
The slope of a line between the two pints (x1,y1), (x2,y2) is given by,
m = (y2 - y1)/(x2 - x1)
For our two pints, this gives us,
m = (9/2 - (-1)) / ((-2) - (-5/3)) = (9/2 + 1) / (-2 + 5/3) = (11/2) / (-1/3) = -33/2
The slope is: m = -33/2